Integers Word Problems | Grade 6 - Free Printable

Let's solve each problem step by step:

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Problem 1:

Question: If 0 is sea level, how would ninety-nine feet below sea level be written?

Solution:
- Sea level is represented as 0.
- Below sea level is represented with negative integers.
- Ninety-nine feet below sea level is written as \(-99\).

Answer: \(\boxed{-99}\)

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Problem 2:

Question: When Raphael woke up, his temperature was \(105^\circ \text{F}\). His mom gave him Crocin immediately and an hour later it was 4° lower. What was his temperature then?

Solution:
- Raphael's initial temperature: \(105^\circ \text{F}\).
- After taking Crocin, his temperature decreased by \(4^\circ \text{F}\).
- New temperature = Initial temperature - Decrease in temperature
\[
105 - 4 = 101
\]

Answer: \(\boxed{101}\)

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Problem 3:

Question: A fisherman is pulling a big fish at the rate of 30 feet per minute. The fish is 90 feet below sea level. How deep was the fish 4 minutes ago?

Solution:
- The fisherman is pulling the fish at a rate of 30 feet per minute.
- In 4 minutes, the distance the fish is pulled up is:
\[
30 \times 4 = 120 \text{ feet}
\]
- Currently, the fish is 90 feet below sea level.
- Four minutes ago, the fish was deeper by the distance it has been pulled up:
\[
90 + 120 = 210 \text{ feet below sea level}
\]

Answer: \(\boxed{-210}\)

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Problem 4:

Question: An elevator is on the sixteenth floor. It goes down seven floors and then up three floors. What floor is the elevator on now?

Solution:
- Initial floor: 16.
- The elevator goes down 7 floors:
\[
16 - 7 = 9
\]
- Then, the elevator goes up 3 floors:
\[
9 + 3 = 12
\]

Answer: \(\boxed{12}\)

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Problem 5:

Question: Diego has \$575 in his savings bank account. If he writes a cheque of \$100 to Akshayapatra as a donation, how much money will be left in his account now?

Solution:
- Initial amount in the account: \$575.
- Amount donated via cheque: \$100.
- Remaining amount in the account:
\[
575 - 100 = 475
\]

Answer: \(\boxed{475}\)

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Final Answers:

1. \(\boxed{-99}\)
2. \(\boxed{101}\)
3. \(\boxed{-210}\)
4. \(\boxed{12}\)
5. \(\boxed{475}\)